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Method of characteristics information


In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first-order equations, although more generally the method of characteristics is valid for any hyperbolic partial differential equation. The method is to reduce a partial differential equation to a family of ordinary differential equations along which the solution can be integrated from some initial data given on a suitable hypersurface.

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Method of characteristics

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In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first-order equations...

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Partial differential equation

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curves allows separation of variables, and is called the method of characteristics. More generally, one may find characteristic surfaces. For a second order...

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Characteristic

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Euler characteristic, a topological invariant Method of characteristics, a technique for solving partial differential equations Light characteristic, pattern...

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Method of quantum characteristics

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Quantum characteristics are phase-space trajectories that arise in the phase space formulation of quantum mechanics through the Wigner transform of Heisenberg...

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Characteristic equation

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obtained by equating to zero the characteristic polynomial of a matrix or of a linear mapping Method of characteristics, a technique for solving partial...

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Characteristic curve

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above curve In photography, a plot of film density: see sensitometry In mathematics, used in the method of characteristics for solving partial differential...

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Finite difference method

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In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives...

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Euler method

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basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after...

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Galerkin method

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In mathematics, in the area of numerical analysis, Galerkin methods are named after the Soviet mathematician Boris Galerkin. They convert a continuous...

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Water hammer

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the method of characteristics. In the 1st century B.C., Marcus Vitruvius Pollio described the effect of water hammer in lead pipes and stone tubes of the...

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Finite element method

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The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

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Dirichlet boundary condition

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Cheng, A.; Cheng, D. T. (2005). "Heritage and early history of the boundary element method". Engineering Analysis with Boundary Elements. 29 (3): 268–302...

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Finite volume method

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The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite...

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Neutron transport

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MIT developed open source parallel method of characteristics code MPACT – A parallel 3D method of characteristics code under development by Oak Ridge...

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Wave method

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the wave method (WM), or wave characteristic method (WCM), is a model describing unsteady flow of fluids in conduits (pipes). The wave method is based...

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Method of undetermined coefficients

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In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain nonhomogeneous ordinary differential...

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Integrating factor

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solution which involves a nonelementary integral. This same method is used to solve the period of a simple pendulum. Integrating factors are useful for solving...

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Differential equation

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theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been...

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Scientific method

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The scientific method is an empirical method for acquiring knowledge that has characterized the development of science since at least the 17th century...

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Perturbation theory

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comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the...

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MOC

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Meridional Overturning Circulation, an ocean circulation on Earth Method of characteristics, a technique for solving partial differential equations Microwave...

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Coitus interruptus

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interruptus, also known as withdrawal, pulling out or the pull-out method, is a method of birth control during penetrative sexual intercourse, whereby the...

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Receiver operating characteristic

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A.; McNeil, Barbara J. (1983-09-01). "A method of comparing the areas under receiver operating characteristic curves derived from the same cases". Radiology...

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Mons pubis

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Prevalence, methods, and characteristics". The Journal of Sexual Medicine, 7(10), 3322–3330. Triana, L. & Robledo, A. M. (2015). "Aesthetic surgery of female...

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